GCD of 566, 500, 70, 794 Calculator

Given Input numbers are 566, 500, 70, 794

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 566, 500, 70, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 500, 70, 794 is 2.

Therefore, GCD of numbers 566, 500, 70, 794 is 2

Given Input Data is 566, 500, 70, 794

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 566 is 2 x 283

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 794 is 2 x 397

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(566, 500) = 141500

GCD(566, 500) = ( 566 x 500 ) / 141500

GCD(566, 500) = 283000 / 141500

GCD(566, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 794

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

GCD(2, 794) = 1588 / 794

GCD(2, 794) = 2

GCD of 566, 500, 70, 794 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 919, 43, 846
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• GCD of 818, 225, 26, 347

1. What is the GCD of 566, 500, 70, 794?

GCD of 566, 500, 70, 794 is 2

2. Where do I get the detailed procedure to find GCD of 566, 500, 70, 794?

You can find a detailed procedure to find GCD of 566, 500, 70, 794 on our page.

3. How to find GCD of 566, 500, 70, 794 on a calculator?

You can find the GCD of 566, 500, 70, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.